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Finding the Fourth Proportional to 4,901.85, 7,352.00 and 4,074.22

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Solution

The fourth proportional to 4,901.85, 7,352.00 and 4,074.22 is: 6,110.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,901.85 : 7,352.00 = 4,074.22 : x
  2. Step 2: Convert to fraction form
    4,901.85/7,352.00 = 4,074.22/x
  3. Step 3: Cross multiply
    4,901.85x = 7,352.00 × 4,074.22
  4. Step 4: Simplify right side
    4,901.85x = 29,953,663.45
  5. Step 5: Solve for x
    x = 29,953,663.45/4,901.85
  6. Step 6: Final answer
    x = 6,110.69

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.